自由曲面轮廓仪机架多目标优化设计  

Multi-objective optimization design of free-form surface profiler frame

作　　者：席建普[1] 周卓林 罗来华 张通通 聂子凯 XI Jianpu;ZHOU Zhuolin;LUO Laihua;ZHANG Tongtong;NIE Zikai(School of Mechatronics Engineering,Zhongyuan University of Technology,Zhengzhou 450007,CHN)

机构地区：[1]中原工学院机电学院,河南郑州450007

出　　处：《制造技术与机床》2024年第5期122-127,共6页Manufacturing Technology & Machine Tool

基　　金：国家自然科学基金资助项目(51705546);中原工学院自然基金项目(K2023MS015);机械工业光学传感与测试技术重点实验室(2022SA-04-15);河南省自然科学基金项目(242300421259)。

摘　　要：针对复杂机床结构优化过程中,通常难以处理各个设计参数之间的关联关系的问题,提出了一种结合数值模拟和优化算法进行多目标优化设计的方法。在Isight平台中调用SolidWorks和Workbench插件进行试验设计,通过最优拉丁超立方试验设计方法(optimal latin hypercube algorithm,OLHA)设计样本点,用生成的样本点构建泛克里金近似模型,并使用交叉验证证明模型的可靠性和有效性,以最大位移变形量最小和一阶固有频率最大为优化目标,运用多岛遗传算法(multi-island genetic algorithm,MIGA)进行寻优计算来获取最优解。优化后的一阶固有频率为221.31 Hz,较优化前增加了8.43%,最大变形为0.001 888 mm,减小了18.45%,实现了机架的多目标优化设计。A multi-objective optimization design method combining numerical simulation and optimization algorithms is proposed to address the problem of difficulty in handling the correlation between various design parameters in the optimization process of complex machine tool structures.The SolidWorks and Workbench plug-ins are called in the Isight platform for experimental design.The sample points are designed by the optimal latin hypercube algorithm(OLHA),and the universal Kriging approximation model is constructed with the generated sample points.The reliability and effectiveness of the model are proved by cross validation.With the minimum maximum displacement deformation and the maximum first-order natural frequency as the optimization objectives,the multi-island genetic algorithm(MIGA)is used for optimization calculation to obtain the optimal solution.The optimized first-order natural frequency is 221.31 Hz,an increase of 8.43%compared to before optimization,and the maximum deformation is 0.001888 mm,a decrease of 18.45%,achieving multi-objective optimi-zation design of the rack.

关 键 词：轮廓仪 多目标优化 多岛遗传算法 泛克里金法 

分 类 号：TH122[机械工程—机械设计及理论]